3475794839400 has 480 divisors, whose sum is σ = 13146706603800. Its totient is φ = 845962444800.

The previous prime is 3475794839399. The next prime is 3475794839431. The reversal of 3475794839400 is 49384975743.

3475794839400 is a `hidden beast` number, since 3 + 47 + 5 + 79 + 483 + 9 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 803178024804 + 2672616814596 = 896202^2 + 1634814^2 .

It is a super-2 number, since 2×3475794839400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18650680 + ... + 18836120.

Almost surely, 2^{3475794839400} is an apocalyptic number.

3475794839400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3475794839400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573353301900).

3475794839400 is an abundant number, since it is smaller than the sum of its proper divisors (9670911764400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3475794839400 is a wasteful number, since it uses less digits than its factorization.

3475794839400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185571 (or 185553 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3475794839400 in words is "three trillion, four hundred seventy-five billion, seven hundred ninety-four million, eight hundred thirty-nine thousand, four hundred".